Whiteness
The Sun and its halo.
The Sun and its halo.
achromatic.jpg
Any vision, sight or ocular experience that could loosely be described as grayish is called an achromatic visual sensation. These sensations are described using words like gray, black, white, dark, bright, silvery, leaden, ashen, pale and so on. The flag of the Malaysian state of Terengganu is used as an icon for achromatic visual sensations. You can click on icons to come back to a page like this for easy reference.

By the third hypothesis, the reference experience for achromatic sensation is seeing the Sun. So to make a binary description of an achromatic visual sensation, compare it to seeing the Sun. Report the result using one of the following algebraic statements. If the two experiences are not comparable, then say that the sensation is not an achromatic visual sensation and express this as

$\delta_{w}=0$

If the sensation is like seeing the Sun, then say that it is white. Express this as

$\delta_{w}=+1$

If the sensation is not like seeing the Sun, then say that it is black and that

$\delta_{w}=-1$

If it is both like and not-like seeing the Sun, then it is a composite sensation and

$-1 \le \delta_{w} \le 1$

The number $\delta_{w}$ is called the whiteness.

Summary
Adjective Definition
Whiteness $\delta_{w} \equiv \begin{cases} +1 &\sf{\text{if a sensation is white }} \\ -1 &\sf{\text{if a sensation is black }} \end{cases}$ 2-2
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